Book Details
Format
Hardback or Cased Book
Book Series
Texts and Readings in Mathematics
ISBN-10
9386279819
ISBN-13
9789386279811
Edition
2 Revised edition
Publisher
Jainendra K Jain
Imprint
Jainendra K Jain
Country of Manufacture
IN
Country of Publication
GB
Publication Date
Jan 30th, 2020
Print length
235 Pages
Weight
570 grams
Dimensions
16.50 x 24.70 x 2.20 cms
Product Classification:
Differential calculus & equations
AI Summary
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Treats some basic topics in the spectral theory of dynamical systems. The treatment is at a general level, but two more advanced theorems, one by H. Helson and W. Parry and the other by B. Host, are presented. Moreover, Ornstein's family of mixing rank one automorphisms is described with construction and proof.
This book treats some basic topics in the spectral theory of dynamical systems. The treatment is at a general level, but two more advanced theorems, one by H. Helson and W. Parry and the other by B. Host, are presented. Moreover, Ornstein''s family of mixing rank one automorphisms is described with construction and proof. Systems of imprimitivity and their relevance to ergodic theory are discussed, and Baire category theorems of ergodic theory, scattered in the literature, are derived in a unified way. Riesz products are considered and they are used to describe the spectral types and eigenvalues of rank one automorphisms.
The major change in this edition is that a new chapter titled Calculus of Generalized Riesz Products has been added. This is based on some recent work of the author with El Houcein El Abdalaoui and supplements the material presented elsewhere in the book.
The major change in this edition is that a new chapter titled Calculus of Generalized Riesz Products has been added. This is based on some recent work of the author with El Houcein El Abdalaoui and supplements the material presented elsewhere in the book.
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